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Discrete Math and Analyzing Social Graphs
Week 2
Distributing Assignments Among People

Practice QuizPractice Quiz • 10 min10 minutes

Distributing Assignments Among People

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Distributing Assignments Among People

Practice Quiz • 10 min

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Distributing Assignments Among People

Total points 2

1.

Question 1

Note that this is a practice quiz. This problem will be discussed in the next video, but we encourage you to try to solve it yourselves first.

Suppose there are 4 people and 9 different assignments. Each person should receive one assignment. Assignments for different people should be different. How many ways are there to do it?

1 / 1 point

3024

Correct

This is correct! See the next video for the discussion.

2.

Question 2

Note that this is a practice quiz. This problem will be discussed in the next video, but we encourage you to try to solve it yourselves first.

There are 4 people and 9 different assignments. We need to distribute all assignments among people. No assignment should be assigned to two people. Every person can be given arbitrary number of assignments from 0 to 9. How many ways are there to do it?

1 / 1 point

262144

Correct

This is correct! It is convenient to look from the position of assignments. Each assignment has to receive a person who will work on it. Each assignment has 4 options. Assignments are different, so these are ordered selections. Repetitions are allowed: two assignments can be given to the same person. So we are dealing with tuples.